The perimeter of the rectangle is 46 cm and the diagonal is 17 Find the sides of the rectangle.

Since the perimeter of the rectangle is 46 cm, the sum of its two adjacent sides is 23.On the other hand, the diagonal of the rectangle is 17 cm.The diagonal of the rectangle is also the hypotenuse for two adjacent sides of the rectangle, therefore, according to the Pythagorean theorem, the sum of the squares of these sides is equal to the square of the diagonal , i.e. 289.

289 = 225 + 64 = 15 ^ 2 + 8 ^ 2;

15 + 8 = 23, therefore, the lengths of the sides of this rectangle are 15 cm and 8 cm.

Answer: 15 cm and 8 cm.